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Let MAJ : {0,1}³ → {0,1} and NOT : {0,1} → {0, 1} be defined as in lecture. Let 1 : {0,1}0 → {0, 1} simply give the constant value 1 Prove that {MAJ, NOT, 1} is equivalent to AND, OR, NOT. In other words, show that any function that can be computed by AND,OR,NOT can also be computed using combinations of {MAJ, NOT, 1}, and vice-versa.

Let MAJ : {0,1}³ → {0,1} and NOT : {0,1} → {0, 1} be defined as in lecture. Let 1 : {0,1}0 → {0, 1} simply give the constant value 1 Prove that {MAJ, NOT, 1} is equivalent to AND, OR, NOT. In other words, show that any function that can be computed by AND,OR,NOT can also be computed using combinations of {MAJ, NOT, 1}, and vice-versa.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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{0, 1}0 → {0, 1} Let MAJ : {0,1}³ simply give the constant value 1 Prove that {MAJ, NOT, 1} is equivalent to AND, OR, NOT. In other words, show that any function that can be computed by AND,OR,NOT can also be computed using combinations of {MAJ, NOT, 1}, and vice-versa. → {0,1} and NOT : {0,1} → {0,1} be defined as in lecture. Let 1 :
Transcribed Image Text:{0, 1}0 → {0, 1} Let MAJ : {0,1}³ simply give the constant value 1 Prove that {MAJ, NOT, 1} is equivalent to AND, OR, NOT. In other words, show that any function that can be computed by AND,OR,NOT can also be computed using combinations of {MAJ, NOT, 1}, and vice-versa. → {0,1} and NOT : {0,1} → {0,1} be defined as in lecture. Let 1 :
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